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Finding the Fourth Proportional to 212.81, 317.50 and 200.03

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Solution

The fourth proportional to 212.81, 317.50 and 200.03 is: 298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.81 : 317.50 = 200.03 : x
  2. Step 2: Convert to fraction form
    212.81/317.50 = 200.03/x
  3. Step 3: Cross multiply
    212.81x = 317.50 × 200.03
  4. Step 4: Simplify right side
    212.81x = 63,507.44
  5. Step 5: Solve for x
    x = 63,507.44/212.81
  6. Step 6: Final answer
    x = 298.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.